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Finding the Third Proportional to 476,529 and 1,047,828

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Solution

The third proportional to 476,529 and 1,047,828 is: 2,304,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,529 : 1,047,828 = 1,047,828 : x
  2. Step 2: Convert to fraction form
    476,529/1,047,828 = 1,047,828/x
  3. Step 3: Cross multiply
    476,529x = 1,047,828 × 1,047,828
  4. Step 4: Simplify right side
    476,529x = 1,097,943,517,584
  5. Step 5: Solve for x
    x = 1,097,943,517,584/476,529
  6. Step 6: Final answer
    x = 2,304,043.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.